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Finding the Fourth Proportional to 81,854.89, 122,770.17 and 22,684.39

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Solution

The fourth proportional to 81,854.89, 122,770.17 and 22,684.39 is: 34,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,854.89 : 122,770.17 = 22,684.39 : x
  2. Step 2: Convert to fraction form
    81,854.89/122,770.17 = 22,684.39/x
  3. Step 3: Cross multiply
    81,854.89x = 122,770.17 × 22,684.39
  4. Step 4: Simplify right side
    81,854.89x = 2,784,966,416.65
  5. Step 5: Solve for x
    x = 2,784,966,416.65/81,854.89
  6. Step 6: Final answer
    x = 34,023.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.